International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 785-793
doi:10.1155/S0161171285000862
Growth results for a subclass of Bazilevič functions
Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 8PP, South Wales, UK
Received 29 March 1985
Copyright © 1985 Rabha Md. El-Ashwah and D. K. Thomas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α). For B(α), correct growth estimates in terms of the area function are unknown. Several results in this direction are given for B1(12).